226544769535968 has 288 divisors, whose sum is σ = 695580309470592. Its totient is φ = 69526762905600.

The previous prime is 226544769535961. The next prime is 226544769535969. The reversal of 226544769535968 is 869535967445622.

226544769535968 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 4 + 4 + 76 + 9 + 535 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226544769535961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2450914713 + ... + 2451007143.

It is an arithmetic number, because the mean of its divisors is an integer number (2415209407884).

Almost surely, 2^{226544769535968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226544769535968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347790154735296).

226544769535968 is an abundant number, since it is smaller than the sum of its proper divisors (469035539934624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226544769535968 is a wasteful number, since it uses less digits than its factorization.

226544769535968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94138 (or 94127 counting only the distinct ones).

The product of its digits is 23514624000, while the sum is 81.

The spelling of 226544769535968 in words is "two hundred twenty-six trillion, five hundred forty-four billion, seven hundred sixty-nine million, five hundred thirty-five thousand, nine hundred sixty-eight".